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Tens of thousands of people who took out private loans to pay for college but have not been able to keep up payments may get their debts wiped away because critical paperwork is missing.

The troubled loans, which total at least $5 billion, are at the center of a protracted legal dispute between the student borrowers and a group of creditors who have aggressively pursued them in court after they fell behind on payments.

Judges have already dismissed dozens of lawsuits against former students, essentially wiping out their debt, because documents proving who owns the loans are missing. A review of court records by The New York Times shows that many other collection cases are deeply flawed, with incomplete ownership records and mass-produced documentation.